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Results (10 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
1293.a1 1293.a \( 3 \cdot 431 \) $1$ $\mathsf{trivial}$ $0.336400665$ $[0, 1, 1, -111940, -14420480]$ \(y^2+y=x^3+x^2-111940x-14420480\) 5.24.0-5.a.2.2, 2586.2.0.?, 12930.48.1.?
1293.a2 1293.a \( 3 \cdot 431 \) $1$ $\Z/5\Z$ $1.682003328$ $[0, 1, 1, -6370, 193540]$ \(y^2+y=x^3+x^2-6370x+193540\) 5.24.0-5.a.1.2, 2586.2.0.?, 12930.48.1.?
1293.b1 1293.b \( 3 \cdot 431 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -62064, 5946075]$ \(y^2+xy=x^3-62064x+5946075\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$
1293.b2 1293.b \( 3 \cdot 431 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -4014, 85833]$ \(y^2+xy=x^3-4014x+85833\) 2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 3448.24.0.?, 10344.48.0.?
1293.b3 1293.b \( 3 \cdot 431 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 0, -3879, 92664]$ \(y^2+xy=x^3-3879x+92664\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 1724.24.0.?, 5172.48.0.?
1293.b4 1293.b \( 3 \cdot 431 \) $0$ $\Z/4\Z$ $1$ $[1, 0, 0, -234, 1539]$ \(y^2+xy=x^3-234x+1539\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 862.6.0.?, 1724.24.0.?, $\ldots$
1293.c1 1293.c \( 3 \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -193, -782]$ \(y^2+y=x^3+x^2-193x-782\) 3.8.0-3.a.1.1, 2586.16.0.?
1293.c2 1293.c \( 3 \cdot 431 \) $0$ $\Z/3\Z$ $1$ $[0, 1, 1, -73, 217]$ \(y^2+y=x^3+x^2-73x+217\) 3.8.0-3.a.1.2, 2586.16.0.?
1293.d1 1293.d \( 3 \cdot 431 \) $1$ $\mathsf{trivial}$ $0.767643445$ $[1, 0, 1, -5, -7]$ \(y^2+xy+y=x^3-5x-7\) 5172.2.0.?
1293.e1 1293.e \( 3 \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -48, 113]$ \(y^2+y=x^3+x^2-48x+113\) 2586.2.0.?
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